8315616096 has 144 divisors (see below), whose sum is σ = 25208820000. Its totient is φ = 2591084544.

The previous prime is 8315616083. The next prime is 8315616109. The reversal of 8315616096 is 6906165138.

8315616096 is a `hidden beast` number, since 8 + 31 + 5 + 6 + 1 + 609 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (8315616083) and next prime (8315616109).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 723805 + ... + 735203.

It is an arithmetic number, because the mean of its divisors is an integer number (175061250).

Almost surely, 2^8315616096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8315616096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12604410000).

8315616096 is an abundant number, since it is smaller than the sum of its proper divisors (16893203904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8315616096 is a wasteful number, since it uses less digits than its factorization.

8315616096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11581 (or 11570 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 8315616096 is about 91189.9999780678. Note that the first 4 decimals coincide. The cubic root of 8315616096 is about 2025.9628481932.

The spelling of 8315616096 in words is "eight billion, three hundred fifteen million, six hundred sixteen thousand, ninety-six".